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UTK-PDE

Speaker: Cheng Yu (University of Florida)

Tittle: Global solutions of the compressible Navier-Stokes equations

Abstract:  In this talk, I will talk about the existence of global weak solutions for the compressible Navier-Stokes equations where the viscosity coefficients depend on the density. Our main contribution is to further develop renormalized techniques so that the Mellet-Vasseur type inequality is not necessary for the compactness.  This provides existence of global solutions in time, for the barotropic compressible Navier-Stokes equations, for any $\gamma>1$, in three dimensional space, with large initial data, possibly vanishing on the vacuum. This is a joint work with D. Bresch and A. Vasseur.

Thursday, September 23 at 2:50pm to 4:00pm

Virtual Event
Event Type

Lectures & Presentations

Topic

Science

Audience

General Public

Department
Mathematics
Hashtag

#UTK-PDE

Contact Name

Tuoc Phan

Contact Email

phan@math.utk.edu

Contact Phone

8653327817

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